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4021111424 = 27116914133
BaseRepresentation
bin1110111110101101…
…0100101010000000
3101101020102121212202
43233223110222000
531213401031144
61503002212332
7201434611631
oct35753245200
911336377782
104021111424
1117838a3590
129427b40a8
134c1103995
142a208b888
1518804564e
hexefad4a80

4021111424 has 64 divisors (see below), whose sum is σ = 8753827680. Its totient is φ = 1824691200.

The previous prime is 4021111421. The next prime is 4021111453. The reversal of 4021111424 is 4241111204.

4021111424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4021111396 and 4021111405.

It is not an unprimeable number, because it can be changed into a prime (4021111421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970862 + ... + 974994.

Almost surely, 24021111424 is an apocalyptic number.

4021111424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376913840).

4021111424 is an abundant number, since it is smaller than the sum of its proper divisors (4732716256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4021111424 is a wasteful number, since it uses less digits than its factorization.

4021111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4837 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 4021111424 is about 63412.2340246738. The cubic root of 4021111424 is about 1590.1888445716.

Adding to 4021111424 its reverse (4241111204), we get a palindrome (8262222628).

The spelling of 4021111424 in words is "four billion, twenty-one million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 691 704 1382 1408 2764 4133 5528 7601 8266 11056 15202 16532 22112 30404 33064 44224 45463 60808 66128 88448 90926 121616 132256 181852 243232 264512 363704 486464 529024 727408 972928 1454816 2855903 2909632 5711806 5819264 11423612 22847224 31414933 45694448 62829866 91388896 125659732 182777792 251319464 365555584 502638928 1005277856 2010555712 4021111424